An equation is a mathematical statement that has two expressions separated by an equal sign. The expression on the left side of the equal sign has the same value as the expression on the right side.
One or both of the expressions may contain variables. Solving an equation means manipulating the expressions and finding the value of the variables.
An example might be: x = 4+8 to solve this equation we would add 4 and 8 and find that x = 12.
1. The Larson family is traveling from Michigan to Florida at an average speed of 60 miles per hour. Write an equation for a rule you can you use to calculate the distance they have traveled after given number of hours.
2. What are the advantages of having an equation to represent the Larson family's situation?
What are the advantages to having a table? A graph?
Equation: #m x #h (number of miles x number of hours)
The advantages of having an equation to represent the Larson family situation is to be able to simplify the calculation. The advantages of having a table is to how far they’ve traveled each hour. And the advantages of having a graph is to be able to see how much progress the Larson family has made in hour.
To find the distance traveled by the Larson family you can use an equation to find how many hours they’ve traveled: (#m x #h)
You can use a table to see exactly
how far they’ve traveled each hour, and then with the data of your table you can use a graph to see how much progress they’ve made.
October 2 2010
Block D
Big Idea: Patterns and Rules
Notes:
Solving an Equation
An equation is a mathematical statement that has two expressions separated by an equal sign. The expression on the left side of the equal sign has the same value as the expression on the right side.
One or both of the expressions may contain variables. Solving an equation means manipulating the expressions and finding the value of the variables.
An example might be: x = 4+8 to solve this equation we would add 4 and 8 and find that x = 12.
http://www.aaamath.com/equ725x2.htm
Definitions: equation: is a mathematical statement that has two expressions separated by an equal sign.
variables: When a letter is used to represent a number or number in equations and or expressions both y and x are variables.
Why is it easier to use equations?
To simplify your calculation.
Here is a useful site to make a graph:
http://fooplot.com/
(graph calculator)http://www.shodor.org/interactivate/activities/ScatterPlot/
( simple graph)
1. The Larson family is traveling from Michigan to Florida at an average speed of 60 miles per hour. Write an equation for a rule you can you use to calculate the distance they have traveled after given number of hours.
2. What are the advantages of having an equation to represent the Larson family's situation?
What are the advantages to having a table? A graph?
Equation: #m x #h (number of miles x number of hours)
The advantages of having an equation to represent the Larson family situation is to be able to simplify the calculation.The advantages of having a table is to how far they’ve traveled each hour. And the advantages of having a graph is to be able to see how much progress the Larson family has made in hour.
To find the distance traveled by the Larson family you can use an equation to find how many hours they’ve traveled: (#m x #h)
You can use a table to see exactly
how far they’ve traveled each hour, and then with the data of your table you can use a graph to see how much progress they’ve made.